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10040175860 = 225112131718773
BaseRepresentation
bin10010101100111000…
…01110110011110100
3221220201100210001012
421112130032303310
5131030241111420
64340135451352
7503543041511
oct112634166364
927821323035
1010040175860
114292465800
121b42526b58
13c40116080
146b3620308
153db696dc5
hex25670ecf4

10040175860 has 144 divisors (see below), whose sum is σ = 26427634128. Its totient is φ = 3171717120.

The previous prime is 10040175851. The next prime is 10040175883. The reversal of 10040175860 is 6857104001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 661415524 + 9378760336 = 25718^2 + 96844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525434 + ... + 544206.

It is an arithmetic number, because the mean of its divisors is an integer number (183525237).

Almost surely, 210040175860 is an apocalyptic number.

10040175860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040175860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13213817064).

10040175860 is an abundant number, since it is smaller than the sum of its proper divisors (16387458268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10040175860 is a wasteful number, since it uses less digits than its factorization.

10040175860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18834 (or 18821 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

Adding to 10040175860 its reverse (6857104001), we get a palindrome (16897279861).

The spelling of 10040175860 in words is "ten billion, forty million, one hundred seventy-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 121 130 143 170 187 220 221 242 260 286 340 374 442 484 572 605 715 748 884 935 1105 1210 1430 1573 1870 2057 2210 2420 2431 2860 3146 3740 4114 4420 4862 6292 7865 8228 9724 10285 12155 15730 18773 20570 24310 26741 31460 37546 41140 48620 53482 75092 93865 106964 133705 187730 206503 244049 267410 319141 375460 413006 488098 534820 638282 826012 976196 1032515 1220245 1276564 1595705 2065030 2271533 2440490 2684539 3191410 3510551 4130060 4148833 4543066 4880980 5369078 6382820 7021102 8297666 9086132 10738156 11357665 13422695 14042204 16595332 17552755 20744165 22715330 26845390 29529929 35105510 38616061 41488330 45430660 45637163 53690780 59059858 70211020 77232122 82976660 91274326 118119716 147649645 154464244 182548652 193080305 228185815 295299290 386160610 456371630 502008793 590598580 772321220 912743260 1004017586 2008035172 2510043965 5020087930 10040175860